English

Asymptotic homology of graph braid groups

Algebraic Topology 2022-11-09 v2

Abstract

We give explicit formulas for the asymptotic Betti numbers of the unordered configuration spaces of an arbitrary finite graph over an arbitrary field.

Keywords

Cite

@article{arxiv.2005.08286,
  title  = {Asymptotic homology of graph braid groups},
  author = {Byung Hee An and Gabriel C. Drummond-Cole and Ben Knudsen},
  journal= {arXiv preprint arXiv:2005.08286},
  year   = {2022}
}

Comments

19 pages, 6 figures. Mild revision for clarity, addition of Corollary 1.6 on torsion. Accepted for publication in Geometry & Topology, may vary slightly from published version